The Concept of Potential Energy
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PHXI06:WORK ENERGY AND POWER

355563 A particle is moving in a circle of radius \(r\) under the action of a force \(F = \alpha {r^2}\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(=0\) for \(r = 0\) :

1 \(\dfrac{1}{2} \alpha \mathrm{r}^{3}\)
2 \(\dfrac{5}{6} \alpha \mathrm{r}^{3}\)
3 \(\dfrac{4}{3} \alpha r^{3}\)
4 \(\alpha r^{3}\)
JEE - 2015
PHXI06:WORK ENERGY AND POWER

355564 A rectangular plank of mass \(m_{1}\) and height \(a\) is kept on a horizontal surface. Another rectangular plank of mass \(m_{2}\) and height \(b\) is placed over the first plank. The gravitational potential energy of the system is

1 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{2} \dfrac{b}{2}\right] g\)
2 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{1} \dfrac{b}{2}\right] g\)
3 \(\left[\left(\dfrac{m_{1}+m_{2}}{2} a+m_{2} \dfrac{b}{2}\right)\right] g\)
4 \(\left[m_{1}+m_{2}(a+b)\right] g\)
PHXI06:WORK ENERGY AND POWER

355565 The change in gravitational potential energy per unit 'space' (distance) of a body represents

1 Mass
2 Kinetic energy
3 Linear momentum
4 Weight
PHXI06:WORK ENERGY AND POWER

355566 Assertion :
Water at the foot of the water fall is always at different temperature from that at the top.
Reason :
The potential energy of water at the top is converted into heat energy during falling.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355567 If a rubber ball falls from a height \(h\) and rebounds upto the height of \(h / 2\). The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are

1 \(50 \%, \sqrt{\dfrac{g h}{2}}\)
2 \(50 \%, \sqrt{2 g h}\)
3 \(40 \%, \sqrt{2 g h}\)
4 \(50 \%, \sqrt{g h}\)
JEE - 2024
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355563 A particle is moving in a circle of radius \(r\) under the action of a force \(F = \alpha {r^2}\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(=0\) for \(r = 0\) :

1 \(\dfrac{1}{2} \alpha \mathrm{r}^{3}\)
2 \(\dfrac{5}{6} \alpha \mathrm{r}^{3}\)
3 \(\dfrac{4}{3} \alpha r^{3}\)
4 \(\alpha r^{3}\)
JEE - 2015
PHXI06:WORK ENERGY AND POWER

355564 A rectangular plank of mass \(m_{1}\) and height \(a\) is kept on a horizontal surface. Another rectangular plank of mass \(m_{2}\) and height \(b\) is placed over the first plank. The gravitational potential energy of the system is

1 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{2} \dfrac{b}{2}\right] g\)
2 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{1} \dfrac{b}{2}\right] g\)
3 \(\left[\left(\dfrac{m_{1}+m_{2}}{2} a+m_{2} \dfrac{b}{2}\right)\right] g\)
4 \(\left[m_{1}+m_{2}(a+b)\right] g\)
PHXI06:WORK ENERGY AND POWER

355565 The change in gravitational potential energy per unit 'space' (distance) of a body represents

1 Mass
2 Kinetic energy
3 Linear momentum
4 Weight
PHXI06:WORK ENERGY AND POWER

355566 Assertion :
Water at the foot of the water fall is always at different temperature from that at the top.
Reason :
The potential energy of water at the top is converted into heat energy during falling.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355567 If a rubber ball falls from a height \(h\) and rebounds upto the height of \(h / 2\). The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are

1 \(50 \%, \sqrt{\dfrac{g h}{2}}\)
2 \(50 \%, \sqrt{2 g h}\)
3 \(40 \%, \sqrt{2 g h}\)
4 \(50 \%, \sqrt{g h}\)
JEE - 2024
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PHXI06:WORK ENERGY AND POWER

355563 A particle is moving in a circle of radius \(r\) under the action of a force \(F = \alpha {r^2}\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(=0\) for \(r = 0\) :

1 \(\dfrac{1}{2} \alpha \mathrm{r}^{3}\)
2 \(\dfrac{5}{6} \alpha \mathrm{r}^{3}\)
3 \(\dfrac{4}{3} \alpha r^{3}\)
4 \(\alpha r^{3}\)
JEE - 2015
PHXI06:WORK ENERGY AND POWER

355564 A rectangular plank of mass \(m_{1}\) and height \(a\) is kept on a horizontal surface. Another rectangular plank of mass \(m_{2}\) and height \(b\) is placed over the first plank. The gravitational potential energy of the system is

1 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{2} \dfrac{b}{2}\right] g\)
2 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{1} \dfrac{b}{2}\right] g\)
3 \(\left[\left(\dfrac{m_{1}+m_{2}}{2} a+m_{2} \dfrac{b}{2}\right)\right] g\)
4 \(\left[m_{1}+m_{2}(a+b)\right] g\)
PHXI06:WORK ENERGY AND POWER

355565 The change in gravitational potential energy per unit 'space' (distance) of a body represents

1 Mass
2 Kinetic energy
3 Linear momentum
4 Weight
PHXI06:WORK ENERGY AND POWER

355566 Assertion :
Water at the foot of the water fall is always at different temperature from that at the top.
Reason :
The potential energy of water at the top is converted into heat energy during falling.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355567 If a rubber ball falls from a height \(h\) and rebounds upto the height of \(h / 2\). The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are

1 \(50 \%, \sqrt{\dfrac{g h}{2}}\)
2 \(50 \%, \sqrt{2 g h}\)
3 \(40 \%, \sqrt{2 g h}\)
4 \(50 \%, \sqrt{g h}\)
JEE - 2024
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PHXI06:WORK ENERGY AND POWER

355563 A particle is moving in a circle of radius \(r\) under the action of a force \(F = \alpha {r^2}\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(=0\) for \(r = 0\) :

1 \(\dfrac{1}{2} \alpha \mathrm{r}^{3}\)
2 \(\dfrac{5}{6} \alpha \mathrm{r}^{3}\)
3 \(\dfrac{4}{3} \alpha r^{3}\)
4 \(\alpha r^{3}\)
JEE - 2015
PHXI06:WORK ENERGY AND POWER

355564 A rectangular plank of mass \(m_{1}\) and height \(a\) is kept on a horizontal surface. Another rectangular plank of mass \(m_{2}\) and height \(b\) is placed over the first plank. The gravitational potential energy of the system is

1 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{2} \dfrac{b}{2}\right] g\)
2 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{1} \dfrac{b}{2}\right] g\)
3 \(\left[\left(\dfrac{m_{1}+m_{2}}{2} a+m_{2} \dfrac{b}{2}\right)\right] g\)
4 \(\left[m_{1}+m_{2}(a+b)\right] g\)
PHXI06:WORK ENERGY AND POWER

355565 The change in gravitational potential energy per unit 'space' (distance) of a body represents

1 Mass
2 Kinetic energy
3 Linear momentum
4 Weight
PHXI06:WORK ENERGY AND POWER

355566 Assertion :
Water at the foot of the water fall is always at different temperature from that at the top.
Reason :
The potential energy of water at the top is converted into heat energy during falling.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355567 If a rubber ball falls from a height \(h\) and rebounds upto the height of \(h / 2\). The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are

1 \(50 \%, \sqrt{\dfrac{g h}{2}}\)
2 \(50 \%, \sqrt{2 g h}\)
3 \(40 \%, \sqrt{2 g h}\)
4 \(50 \%, \sqrt{g h}\)
JEE - 2024
NEET DIGITAL LIBRARY
PHXI06:WORK ENERGY AND POWER

355563 A particle is moving in a circle of radius \(r\) under the action of a force \(F = \alpha {r^2}\) which is directed towards centre of the circle. Total mechanical energy (kinetic energy + potential energy) of the particle is (take potential energy \(=0\) for \(r = 0\) :

1 \(\dfrac{1}{2} \alpha \mathrm{r}^{3}\)
2 \(\dfrac{5}{6} \alpha \mathrm{r}^{3}\)
3 \(\dfrac{4}{3} \alpha r^{3}\)
4 \(\alpha r^{3}\)
JEE - 2015
PHXI06:WORK ENERGY AND POWER

355564 A rectangular plank of mass \(m_{1}\) and height \(a\) is kept on a horizontal surface. Another rectangular plank of mass \(m_{2}\) and height \(b\) is placed over the first plank. The gravitational potential energy of the system is

1 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{2} \dfrac{b}{2}\right] g\)
2 \(\left[\left(\dfrac{m_{1}}{2}+m_{2}\right) a+m_{1} \dfrac{b}{2}\right] g\)
3 \(\left[\left(\dfrac{m_{1}+m_{2}}{2} a+m_{2} \dfrac{b}{2}\right)\right] g\)
4 \(\left[m_{1}+m_{2}(a+b)\right] g\)
PHXI06:WORK ENERGY AND POWER

355565 The change in gravitational potential energy per unit 'space' (distance) of a body represents

1 Mass
2 Kinetic energy
3 Linear momentum
4 Weight
PHXI06:WORK ENERGY AND POWER

355566 Assertion :
Water at the foot of the water fall is always at different temperature from that at the top.
Reason :
The potential energy of water at the top is converted into heat energy during falling.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI06:WORK ENERGY AND POWER

355567 If a rubber ball falls from a height \(h\) and rebounds upto the height of \(h / 2\). The percentage loss of total energy of the initial system as well as velocity of ball before it strikes the ground, respectively, are

1 \(50 \%, \sqrt{\dfrac{g h}{2}}\)
2 \(50 \%, \sqrt{2 g h}\)
3 \(40 \%, \sqrt{2 g h}\)
4 \(50 \%, \sqrt{g h}\)
JEE - 2024